GCD of 966, 516, 81, 521 Calculator

Given Input numbers are 966, 516, 81, 521

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Greatest Common Divisior

We found the divisors of 966, 516, 81, 521 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 516, 81, 521 is 1.

Therefore, GCD of numbers 966, 516, 81, 521 is 1

Given Input Data is 966, 516, 81, 521

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 521 is 521

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(966, 516) = 83076

GCD(966, 516) = ( 966 x 516 ) / 83076

GCD(966, 516) = 498456 / 83076

GCD(966, 516) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 81

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 81) = 162

GCD(6, 81) = ( 6 x 81 ) / 162

GCD(6, 81) = 486 / 162

GCD(6, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 521

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 521) = 1563

GCD(3, 521) = ( 3 x 521 ) / 1563

GCD(3, 521) = 1563 / 1563

GCD(3, 521) = 1

GCD of 966, 516, 81, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 236, 11, 642
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• GCD of 993, 768, 97, 224

1. What is the GCD of 966, 516, 81, 521?

GCD of 966, 516, 81, 521 is 1

2. Where do I get the detailed procedure to find GCD of 966, 516, 81, 521?

You can find a detailed procedure to find GCD of 966, 516, 81, 521 on our page.

3. How to find GCD of 966, 516, 81, 521 on a calculator?

You can find the GCD of 966, 516, 81, 521 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.